statistical-theory-analysis

statistical-theory-analysis is a skill for Claude Code, Codex from aiming-lab/AutoResearchClaw. It costs 41 tokens per session (325 once invoked), scanned A, original, MIT.

A guide for studying the mathematical behaviour of statistical methods under stated assumptions. It examines properties such as bias, variance, consistency, uncertainty coverage, error bounds, and robustness.

In plain words
What is it for?
Use it to write propositions, proof sketches, counterexamples, limitations, and testable predictions about method performance.
Why use it?
It explains why a method should work, when its results may fail, and what experiments should be expected to show.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to write propositions, proof sketches, counterexamples, limitations, and testable predictions about method performance.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/aiming-lab/autoresearchclaw/statistical-theory-analysis
About the project

AutoResearchClaw is a system that turns a research idea into a scientific paper through autonomous and collaborative AI research workflows. It is for researchers who want agents to investigate questions, run experiments, and produce papers, with optional human guidance. Catalogue skills and agents provide parts of its research workflow.

aiming-lab/AutoResearchClaw · 14,361 stars · on GitHub

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add aiming-lab/AutoResearchClaw --skill statistical-theory-analysis
Clone the repo
git clone --depth 1 https://github.com/aiming-lab/AutoResearchClaw

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for statistical-theory-analysis

README.md
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Your own site
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Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

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Your own site · 80×15
<a href="https://agentmods.dev/skills/aiming-lab/autoresearchclaw/statistical-theory-analysis"><img src="https://agentmods.dev/badge/skills/aiming-lab/autoresearchclaw/statistical-theory-analysis.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 41 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 325 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00041 $0.00325
Opus 5 $0.00020 $0.00162
Sonnet 5 $0.00008 $0.00065
Haiku 4.5 $0.00004 $0.00032

Measured 9d ago against content hash 4e929342caa2, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-08, from the pricing page.

Security

Grade A, and why

statistical-theory-analysis scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 9d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

external/agents/stat_research_agent/skills/statistical-theory-analysis/SKILL.md · 62 lines

What it actually says

Statistical Theory Analysis

Overview

Use this skill after method proposal and before final experimental comparison. Theory is required as a stage even if the final output is a simulation paper.

Theory Outputs

Depending on the topic, provide:

  • Identifiability argument
  • Bias or variance calculation
  • Consistency statement
  • Asymptotic distribution
  • Coverage or calibration argument
  • Risk or error bound
  • Robustness analysis
  • Sensitivity or impossibility result
  • Counterexample showing failure outside assumptions

Theorem Template

## Proposition
Under assumptions A1-Ak, method M satisfies ...

## Proof Sketch
1. ...
2. ...
3. ...

## Interpretation
This predicts that ...

## Limitations
The result does not cover ...

Experimental Predictions

Every theoretical claim should produce an empirical prediction when possible:

  • Direction of metric change
  • Condition under which the method should improve
  • Stress condition under which it should fail
  • Baseline it should outperform
Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 9d ago First seen · 62 lines · 41 tokens per session scan A 4e929342caa2

Subscribe to this mod's changes

statistical-theory-analysis is a skill published in the GitHub repository aiming-lab/AutoResearchClaw (14,361 stars, last pushed 21d ago), licensed MIT. It adds 41 tokens to every session and 325 once invoked, about $0.0002 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

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